Analysis of the model of HIV-1 infection of \(CD4^{+}\) T-cell with a new approach of fractional derivative

Advances in Difference Equations

article

Baleanu, Dumitru¹  Mohammadi, Hakimeh⁴  Rezapour, Shahram⁵ 

[1] Department of Mathematics, Cankaya University;Department of Medical Research, China Medical University Hospital, China Medical University;Institute of Space Sciences;Department of Mathematics, Miandoab Branch, Islamic Azad University;Department of Mathematics, Azarbaijan Shahid Madani University

关键词: Fixed point;    Homotopy analysis method;    Mathematical model;    Numerical simulation;    The Caputo–Fabrizio derivation;   

DOI  :  10.1186/s13662-020-02544-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and uniqueness of the solution for the model by using fixed point theory. We solve the equation by a combination of the Laplace transform and homotopy analysis method. Finally, we provide some numerical analytics and comparisons of the results.

【 授权许可】

CC BY